Nonfactorizable contributions to $B$ meson decays into charmonia

Details Nonfactorizable contributions to $B$ meson decays into charmonia Nonfactorizable contributions to $B$ meson decays into charmonia

2005-04-04

arxiv.org/abs/hep-ph/0504020v3

Phys.Rev.D71:114008,2005

Physics

High Energy Physics

High Energy Physics - Phenomenology

25 pages, 2 figures, Refs added, typos corrected, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.71.114008

We analyze the $B\to (J/\psi, \chi_{c0},\chi_{c1},\eta_c)K^{(*)}$ decays, which have small or even vanishing branching ratios in naive factorization assumption (FA). We calculate nonfactorizable corrections to FA in the perturbative QCD approach based on $k_T$ factorization theorem. The charmonium distribution amplitudes are inferred from the non-relativistic heavy quarkonium wave functions. It is found that the nonfactorizable contributions enhance the branching ratios and generate the relative phases among helicity amplitudes of the above modes. Most of the observed branching ratios, polarization fractions, and relative phases, except those of $B\to\eta_c K$, are explained. Our predictions for the $B\to (\chi_{c0},\chi_{c1},\eta_c)K^*$ decays can be compared with future data.

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